2145489436008 has 256 divisors, whose sum is σ = 6300518400000. Its totient is φ = 674597424384.

The previous prime is 2145489436007. The next prime is 2145489436049. The reversal of 2145489436008 is 8006349845412.

2145489436008 is a `hidden beast` number, since 2 + 1 + 4 + 548 + 94 + 3 + 6 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2145489436007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1219720233 + ... + 1219721991.

It is an arithmetic number, because the mean of its divisors is an integer number (24611400000).

Almost surely, 2^{2145489436008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145489436008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150259200000).

2145489436008 is an abundant number, since it is smaller than the sum of its proper divisors (4155028963992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2145489436008 is a wasteful number, since it uses less digits than its factorization.

2145489436008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2145489436008 in words is "two trillion, one hundred forty-five billion, four hundred eighty-nine million, four hundred thirty-six thousand, eight".